U.S. Senator Mitt Romney (R-UT) departs after attending a bipartisan work group meeting on an infrastructure bill at the U.S. Capitol in Washington, U.S., June 8, 2021.Evelyn Hockstein | ReutersBipartisan groups in Congress will try to craft an infrastructure bill after talks between President Joe Biden and Republicans collapsed. But the lawmakers are running into one of the issues that tripped up the president and Sen. Shelley Moore Capito, R-W.V. Bipartisan negotiators in the House and Senate have not come near a consensus on how to pay for infrastructure investments. An agreement on how to offset spending could pose the biggest challenge to striking a deal as Biden and Democratic leaders decide whether they can pass a bill with Republican votes. A group of Democratic and GOP senators and the bipartisan House Problem Solvers Caucus are trying to put together possible compromises. Both contingents have an idea of what they want to put in an infrastructure bill. Neither has agreed on funding methods, as Republicans oppose Biden’s plan to hike corporate taxes and Democrats resist proposals to charge new consumer fees or repurpose coronavirus aid funds.CNBC PoliticsRead more of CNBC’s politics coverage:Biden plans to call lawmakers about developing infrastructure plans while he is in Europe for the G-7 summit this week, White House press secretary Jen Psaki said Tuesday. Key aides will also meet with members of Congress in person.The bipartisan efforts come as Democrats set the groundwork to pass pieces of Biden’s $2.3 trillion infrastructure plan on their own. Psaki said Biden spoke to Senate Majority Leader Chuck Schumer, D-N.Y., about the need to work on a budget resolution — which would give Democrats the chance to pass Biden’s economic and tax policies on their own in the Senate.The Democratic-led House Transportation and Infrastructure Committee will also consider a five-year surface transportation funding bill on Wednesday. As the legislation moves forward, it could become a vehicle for some of the president’s infrastructure priorities.A Problem Solvers Caucus plan released Wednesday appears to come closer to Biden’s goals than the last Republican offer he rejected. It calls to spend $1.25 trillion — including about $762 billion in new funds — on highways, roads, bridges, railways, electric vehicles and broadband, among other initiatives, according to NBC News.Biden has asked for at least $1 trillion in new spending above the baseline set by existing policy.Meanwhile, the Senate group led by lawmakers including Sens. Mitt Romney, R-Utah, Rob Portman, R-Ohio, Joe Manchin, D-W.V., and Kyrsten Sinema, D-Ariz., has not announced an overall price tag. But senators emerged from a Tuesday meeting nearing agreement on spending for specific programs, Romney told reporters.They appear further from a consensus on how to pay for the plan. The Problem Solvers Caucus aims to discuss potential tools to cover infrastructure costs with the Senate group, according to NBC.Romney noted that the Senate negotiators have work ahead to win broader support for the proposal.”This group is making a lot of progress, but we have a total of 100 senators, not eight,” he said.Other disagreements could arise during bipartisan talks. The Problem Solvers Caucus proposal does not include Biden priorities such as care for elderly and disabled Americans and upgrades to housing and schools.Some progressives in Congress have also warned Biden not to cut too much spending from his plan in order to win Republican support.Subscribe to CNBC on YouTube.